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32161042225 = 52132312892
BaseRepresentation
bin11101111100111100…
…101000111100110001
310002000100200020000001
4131330330220330301
51011331211322400
622435150430001
72215660230334
oct357474507461
9102010606001
1032161042225
1112704085044
126296802301
133057006400
1417b146461b
15c836eca6a
hex77cf28f31

32161042225 has 81 divisors (see below), whose sum is σ = 45128278179. Its totient is φ = 22725331200.

The previous prime is 32161042223. The next prime is 32161042241. The reversal of 32161042225 is 52224016123.

The square root of 32161042225 is 179335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31961215729 + 199826496 = 178777^2 + 14136^2 .

It is not a de Polignac number, because 32161042225 - 21 = 32161042223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32161042193 and 32161042202.

It is not an unprimeable number, because it can be changed into a prime (32161042223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 361359981 + ... + 361360069.

Almost surely, 232161042225 is an apocalyptic number.

32161042225 is the 179335-th square number.

32161042225 is the 89668-th centered octagonal number.

It is an amenable number.

32161042225 is a deficient number, since it is larger than the sum of its proper divisors (12967235954).

32161042225 is an equidigital number, since it uses as much as digits as its factorization.

32161042225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 32161042225 its reverse (52224016123), we get a palindrome (84385058348).

The spelling of 32161042225 in words is "thirty-two billion, one hundred sixty-one million, forty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 31 65 89 155 169 325 403 445 775 845 961 1157 2015 2225 2759 4225 4805 5239 5785 7921 10075 12493 13795 15041 24025 26195 28925 35867 39605 62465 68975 75205 85529 102973 130975 162409 179335 198025 245551 312325 376025 427645 466271 514865 812045 896675 1111877 1227755 1338649 2138225 2331355 2574325 3192163 4060225 5559385 6138775 6693245 7612081 11656775 14454401 15960815 27796925 33466225 38060405 41498119 72272005 79804075 98957053 190302025 207490595 361360025 494785265 1037452975 1286441689 2473926325 6432208445 32161042225